{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n div.illustration {\n float: right;\n padding-left: 20px;\n }\n div.illustration .illustration {\n width: 100%;\n border-radius: 4px;\n }\n pre {\n display: block;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n color: #333;\n word-break: break-all;\n word-wrap: break-word;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\n \u003cp\u003eAlex and Barb are waiting for their two cousins to visit for\n dinner. Since their cousins tend to get involved in all sorts\n of shenanigans, Alex and Barb decide to pass the time with a\n little card game.\u003c/p\u003e\n \u003cp\u003eThe game is as follows: there is a stack of \u003cspan class\u003d\"tex2jax_process\"\u003e$k$\u003c/span\u003e cards on the table. Alex and Barb\n take turns taking from \u003cspan class\u003d\"tex2jax_process\"\u003e$m$\u003c/span\u003e\n to \u003cspan class\u003d\"tex2jax_process\"\u003e$n$\u003c/span\u003e cards, beginning\n with Alex. The first player with no valid moves left loses.\u003c/p\u003e\n \u003cp\u003eGiven \u003cspan class\u003d\"tex2jax_process\"\u003e$k$\u003c/span\u003e, \u003cspan class\u003d\"tex2jax_process\"\u003e$m$\u003c/span\u003e, and \u003cspan class\u003d\"tex2jax_process\"\u003e$n$\u003c/span\u003e, determine which player will win\n the game provided that both play with an optimal strategy.\u003c/p\u003e\n \u003ch2\u003eInputs\u003c/h2\u003e\n \u003cp\u003eThe input consists of a single line containing three\n space-separated integers \u003cspan class\u003d\"tex2jax_process\"\u003e$1 \\leq\n k \\leq 10^9$\u003c/span\u003e and \u003cspan class\u003d\"tex2jax_process\"\u003e$1 \\leq m\n \\leq n \\leq 10^9$\u003c/span\u003e.\u003c/p\u003e\n \u003ch2\u003eOutputs\u003c/h2\u003e\n \u003cp\u003eOn a single line output the name of the winning player.\u003c/p\u003e\n \u003ch2\u003eSample 1\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e5 2 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eBarb\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n \u003ch2\u003eSample 2\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e25 3 10\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eAlex\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n "}}]}